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Asked Sep 20, 2019
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Can you help me step by step with this question please

ds
=f'(t) and the
The function s= f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t)=
d2s
acceleration function al (t), then complete parts (a) through (f).
s 208t 16t,0sts 13 (a heavy object fired straight up from Earth's surface at 208 ft/sec)
(t)
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ds =f'(t) and the The function s= f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t)= d2s acceleration function al (t), then complete parts (a) through (f). s 208t 16t,0sts 13 (a heavy object fired straight up from Earth's surface at 208 ft/sec) (t)

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Expert Answer

Step 1

The position of an object with respect to time is S = 208t – 16t2, 0 ≤ t ≤ 13.
The graph of position vs time of given object is shown below:

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800 700 600 500 400 300 200 100 0 8 0 6 10 12 Time (t Displacement (s)

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Step 2

The velocity of the object is given by differentiating the position with respect to time, it gives:

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v) -s(t) dt d (208-16/2 dt v(t) 208-32t(n ft/s2

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Step 3

The graph of velocity vs time of g...

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250 200 150 100 50 2 4 6 8 10 12 14 -50 -100 -150 -200 -250 Time (t Velo city (V)

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